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Finding the Third Proportional to 14,348.25 and 21,084.19

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Solution

The third proportional to 14,348.25 and 21,084.19 is: 30,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.25 : 21,084.19 = 21,084.19 : x
  2. Step 2: Convert to fraction form
    14,348.25/21,084.19 = 21,084.19/x
  3. Step 3: Cross multiply
    14,348.25x = 21,084.19 × 21,084.19
  4. Step 4: Simplify right side
    14,348.25x = 444,542,962.54
  5. Step 5: Solve for x
    x = 444,542,962.54/14,348.25
  6. Step 6: Final answer
    x = 30,982.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.